Unformatted text preview: Math 21A
Challenge Discussion Sheet 4 1.) Assume that the function w(t) is your weight (in pounds) at time t (in months). a.) What are the units for the derivative 10’ (t) ?
b.) What is the meaning of w’(t) in this context ? 2.) For each function y = f(x) solve f’(a:) : 0 for :c and set up a sign chart for f’. a.) f(:c): $3 b.) f(m):(1/2)33—cosat forOSxS27r. 13—2 3.) Use the graph of f to sketch the graphs of f’ and f” = (f’)’, the derivative of the derivative. ‘ 4: ‘F _€n 4.) Use the graph off’ to sketch the graph of f. 5.) Use lim W h 0 h to differentiate the function f(:1:) : lnzv (HINT: Use
properties of logarithms and the fact that lim (1 + w) = e. ) w—+0 ...
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- Winter '09